First slide

Electrostatic potential energy

Question

Two charged particles having charges $1 μC$ and $- 1 μC$ and of mass 50 g each are held at rest while their separation is 2 m. Now the charges are released. Find the speed of the particles when their separation is 1 m.

Moderate

A

$\frac{1}{5} {ms}^{- 1}$
B

$\frac{3}{5} {ms}^{- 1}$
C

$\frac{3}{10} {ms}^{- 1}$
D

$\frac{2}{7} {ms}^{- 1}$

Solution

Applying conservation of mechanical energy, we get
$\frac{- 9 \times 10^{9} \times 10^{- 12}}{2} = \frac{- 9 \times 10^{9} \times 10^{- 12}}{1} + \frac{1}{2} (2 m) v^{2}$
or $v = 3 / 10 {ms}^{- 1}$

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